Application of sensitivity and
robustness analysis to the power loop
control of DFIG based wind turbines
Journal Name:
- Dicle Üniversitesi Mühendislik Fakültesi Mühendislik Dergisi
Key Words:
Keywords (Original Language):
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Abstract (2. Language):
In this paper, the stator power equations are utilised
to derive the plant model of the power loop and its
controller; and the enhancement of the power loop
control of doubly-fed induction generator (DFIG)
based wind turbines is accomplished. The main
electrical components of a typical DFIG based wind
turbine, which are back to back bidirectional partly
rated converters, a DC-link capacitor placed
between these converters, and protection devices of
power electronic components, e.g. a rotor crowbar
or/and a DC-link brake chopper, are depicted.
DFIGs can provide maximum power extraction and
are suitable for variable speed operation (the speed
range is ± 33% around the synchronous speed). The
converter topology used in this study is a threephase
voltage source converter (VSC) consisting of
insulated gate bipolar transistors (IGBTs) controlled
by a pulse width modulation (PWM) switching
technique.
The traditional control approach for the power loop
of the DFIG wind turbine systems is to use PI
control. However due to the nature of the plant
model considered in this research, using a PI
controller for the power loop yields a first order
transfer function that allows setting only the
bandwidth, but unfortunately not the damping.
Therefore, to be able to set the damping as well, the
PI controller is replaced with a PID controller.
However, the tuning process of the PID controller is
more complicated than that of the PI controller, and
selecting the derivative time constant, proportional
and integral gains needs to be done very carefully.
The relevant transfer functions of the power loop are
extracted. The sensitivity analysis is applied to these
transfer functions where the current loop of the
rotor side converter (RSC) and both the current and
voltage loops of the grid side converter (GSC)
control are tuned for the fixed values of the natural
undamped frequency (ωn in rad/s or fn in Hz) and the
damping ratio (ζ).
In the control sensitivity analysis, each time one of
the power loop PID tuning parameters is varied
while other two parameters stay fixed at their
predefined values. The values of damping ratio,
natural undamped frequency and KD (derivative time
constant) are selected as 0.7, 0.8, 0.9, 1, 1.1; 1Hz,
1.5Hz, 2Hz, 2.5Hz and 0.1s, 0.2s, 0.3s, 0.4s,
respectively. The first step of the sensitivity analysis
is to vary the natural undamped frequency from 1Hz
to 2.5Hz in case of fixed damping ratio (ζ) and KD.
Secondly, the damping ratio is varied between 0.7
and 1.1 while keeping the natural undamped
frequency and KD. Finally, the KD is varied from
0.1s to 0.4s for the fixed values of natural undamped
frequency and damping ratio. Thus, the reasonable
search space for tuning parameters and gains for
the PID controller used as the power loop controller
is investigated. In doing so, the ‘best’ operating
points of the tuning parameters for the power
control considered in this research are determined.
Based on the 'best' operating points of the tuning
parameters, the robustness analysis is then
conducted by applying ± 20% change to the stator
voltage and ± 10% change to the stator selfinductance
and mutual inductance. Thus, the control
system design is validated to be robust under the
physical changes of the stator voltage, stator selfinductance,
and the mutual inductance. The work
done in this paper is consistent with the simulation
results obtained by PSCAD.
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Abstract (Original Language):
Bu makalede, çift beslemeli asenkron generatör (ÇBAG) kullanılan rüzgar türbinlerinin stator güç
denklemleri kullanılarak güç kontrol modeli elde edilmiş ve kontrolünde iyileştirmeler sağlanmıştır.
Genellikle, rotor tarafındaki konvertör güç kontrolünde kullanılan geleneksel PI denetleyici yerine band
genişliği ve sönümleme ayarlarını yapabilmek amacıyla PID denetleyici kullanılmıştır. Güç kontrol döngüsü
için ilgili transfer fonksiyonlar elde edilmiştir. Rotor tarafındaki konvertörün akım döngüsü ile şebeke
tarafındaki konvertörün akım ve gerilim döngülerinin doğal frekansı (rad/s birimiyle ωn veya Hz birimiyle fn)
ve sönüm oranları (ζ) değiştirilmeden bu transfer fonksiyonlarına hassasiyet analizi uygulanmıştır.
Hassasiyet analizi uygulamasıyla bu çalışmada değerlendirilen güç kontrolü ayar parametreleri için ‘en iyi’
çalışma noktaları belirlenmiştir. ‘En iyi’ ayar parametreleri dikkate alınarak stator geriliminde ±%20,
stator ve mıknatıslanma indüktanslarında ±%10 değişim uygulanarak sağlamlık analizi gerçekleştirilmiştir.
Hassasiyet ve sağlamlık analizleri PSCAD simülasyon sonuçlarıyla doğrulanmıştır.
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